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            <h1>MLPミキサー:ビジョン用のオールMLPアーキテクチャ</h1>
<p>これは、論文「<a href="https://papers.labml.ai/paper/2105.01601">MLPミキサー：ビジョン用のオールMLPアーキテクチャ」<a href="https://pytorch.org">をPyTorchで実装したものです</a></a>。</p>
<p>本稿では、このモデルをビジョンタスクに適用します。このモデルは、アテンションレイヤーがパッチ（NLPタスクの場合はトークン）全体に適用されるMLPに置き換えられるトランスフォーマーに似ています</p>。
<p>MLP Mixerの実装は、<a href="../mha.html"><a href="../models.html">トランスフォーマー実装のセルフアテンションレイヤーに代わるものです</a></a>。つまり、テンソルを転置してシーケンスの次元全体に MLP を適用するだけのコードです</p>。
<p>この論文では視覚タスクにMLP Mixerを適用しましたが、<a href="../mlm/index.html">マスクされた言語モデルで試してみました</a>。<a href="experiment.html">これが実験コードです</a>。</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">27</span><span></span><span class="kn">from</span> <span class="nn">typing</span> <span class="kn">import</span> <span class="n">Optional</span>
<span class="lineno">28</span>
<span class="lineno">29</span><span class="kn">import</span> <span class="nn">torch</span>
<span class="lineno">30</span><span class="kn">from</span> <span class="nn">torch</span> <span class="kn">import</span> <span class="n">nn</span></pre></div>
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    <div class='section' id='section-1'>
        <div class='docs doc-strings'>
            <div class='section-link'>
                <a href='#section-1'>#</a>
            </div>
            <h2>MLP ミキサー</h2>
<p>このモジュールは、<a href="../mha.html">セルフアテンションレイヤーに代わるドロップインモジュールです</a>。入力テンソルをMLPにフィードする前に転置して戻すので、MLPはフィーチャディメンションではなくシーケンスディメンション全体（トークンまたはイメージパッチ）に適用されます</p>。

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">33</span><span class="k">class</span> <span class="nc">MLPMixer</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span></pre></div>
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    <div class='section' id='section-2'>
        <div class='docs doc-strings'>
            <div class='section-link'>
                <a href='#section-2'>#</a>
            </div>
            <ul><li><code  class="highlight"><span></span><span class="n">ffn</span></code>
は MLP モジュールです。</li></ul>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">43</span>    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">mlp</span><span class="p">:</span> <span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-3'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-3'>#</a>
            </div>
            
        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">47</span>        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
<span class="lineno">48</span>        <span class="bp">self</span><span class="o">.</span><span class="n">mlp</span> <span class="o">=</span> <span class="n">mlp</span></pre></div>
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    <div class='section' id='section-4'>
        <div class='docs doc-strings'>
            <div class='section-link'>
                <a href='#section-4'>#</a>
            </div>
            <p><a href="../mha.html">通常のアテンションモジュールには</a>、、、<span ><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="mord coloredeq eqb" style=""><span class="mord text" style=""><span class="mord" style="">query</span></span></span></span></span></span></span>、<span ><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord coloredeq eqd" style=""><span class="mord text" style=""><span class="mord" style="">key</span></span></span></span></span></span></span>マスクにさまざまなトークンを埋め込むことができます。<span ><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.69444em;vertical-align:0em;"></span><span class="mord coloredeq eqc" style=""><span class="mord text" style=""><span class="mord" style="">value</span></span></span></span></span></span></span></p>
<p>同じ関数シグネチャに従うので、直接置換できます。</p>
<p><span ><span class="katex-display"><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.43056em;vertical-align:0em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="mord coloredeq eqb" style=""><span class="mord text" style=""><span class="mord" style="">query</span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord coloredeq eqd" style=""><span class="mord text" style=""><span class="mord" style="">key</span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.69444em;vertical-align:0em;"></span><span class="mord coloredeq eqc" style=""><span class="mord text" style=""><span class="mord" style="">value</span></span></span></span></span></span></span></span>MLPミキシング用で、マスキングはできません。<code  class="highlight"><span></span><span class="n">query</span></code>
(<code  class="highlight"><span></span><span class="n">key</span></code>
と<code  class="highlight"><span></span><span class="n">value</span></code>
) の形はです<code  class="highlight"><span></span><span class="p">[</span><span class="n">seq_len</span><span class="p">,</span> <span class="n">batch_size</span><span class="p">,</span> <span class="n">d_model</span><span class="p">]</span></code>
。</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">50</span>    <span class="k">def</span> <span class="nf">forward</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">query</span><span class="p">:</span> <span class="n">torch</span><span class="o">.</span><span class="n">Tensor</span><span class="p">,</span> <span class="n">key</span><span class="p">:</span> <span class="n">torch</span><span class="o">.</span><span class="n">Tensor</span><span class="p">,</span> <span class="n">value</span><span class="p">:</span> <span class="n">torch</span><span class="o">.</span><span class="n">Tensor</span><span class="p">,</span> <span class="n">mask</span><span class="p">:</span> <span class="n">Optional</span><span class="p">[</span><span class="n">torch</span><span class="o">.</span><span class="n">Tensor</span><span class="p">]</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-5'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-5'>#</a>
            </div>
            <p><span ><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="mord coloredeq eqb" style=""><span class="mord text" style=""><span class="mord" style="">query</span></span></span></span></span></span></span><span ><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord coloredeq eqd" style=""><span class="mord text" style=""><span class="mord" style="">key</span></span></span></span></span></span></span>、、<span ><span class="katex"><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height:0.69444em;vertical-align:0em;"></span><span class="mord coloredeq eqc" style=""><span class="mord text" style=""><span class="mord" style="">value</span></span></span></span></span></span></span>すべて同じでなければなりません</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">62</span>        <span class="k">assert</span> <span class="n">query</span> <span class="ow">is</span> <span class="n">key</span> <span class="ow">and</span> <span class="n">key</span> <span class="ow">is</span> <span class="n">value</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-6'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-6'>#</a>
            </div>
            <p>MLPミキサーはマスキングをサポートしていません。つまり、すべてのトークンに他のすべてのトークン埋め込みが表示されます。</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">64</span>        <span class="k">assert</span> <span class="n">mask</span> <span class="ow">is</span> <span class="kc">None</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-7'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-7'>#</a>
            </div>
            <p><code  class="highlight"><span></span><span class="n">x</span></code>
わかりやすいように割り当てる</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">67</span>        <span class="n">x</span> <span class="o">=</span> <span class="n">query</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-8'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-8'>#</a>
            </div>
            <p>最後の次元がシーケンス次元になるように転置します。新しい形は <code  class="highlight"><span></span><span class="p">[</span><span class="n">d_model</span><span class="p">,</span> <span class="n">batch_size</span><span class="p">,</span> <span class="n">seq_len</span><span class="p">]</span></code>
</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">71</span>        <span class="n">x</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-9'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-9'>#</a>
            </div>
            <p>MLP をトークン全体に適用</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">73</span>        <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">mlp</span><span class="p">(</span><span class="n">x</span><span class="p">)</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-10'>
        <div class='docs'>
            <div class='section-link'>
                <a href='#section-10'>#</a>
            </div>
            <p>元の形式に戻す</p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">75</span>        <span class="n">x</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span></pre></div>
        </div>
    </div>
    <div class='section' id='section-11'>
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            <div class='section-link'>
                <a href='#section-11'>#</a>
            </div>
            <p></p>

        </div>
        <div class='code'>
            <div class="highlight"><pre><span class="lineno">78</span>        <span class="k">return</span> <span class="n">x</span></pre></div>
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